10041535142100 has 432 divisors, whose sum is σ = 39288776357376. Its totient is φ = 2084017824000.

The previous prime is 10041535142083. The next prime is 10041535142101. The reversal of 10041535142100 is 124153514001.

10041535142100 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 5 + 3 + 514 + 2 + 100 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041535142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57223495 + ... + 57398705.

It is an arithmetic number, because the mean of its divisors is an integer number (90946241568).

Almost surely, 2^{10041535142100} is an apocalyptic number.

10041535142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041535142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19644388178688).

10041535142100 is an abundant number, since it is smaller than the sum of its proper divisors (29247241215276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10041535142100 is a wasteful number, since it uses less digits than its factorization.

10041535142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176076 (or 176066 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10041535142100 its reverse (124153514001), we get a palindrome (10165688656101).

The spelling of 10041535142100 in words is "ten trillion, forty-one billion, five hundred thirty-five million, one hundred forty-two thousand, one hundred".